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分别用状态观测器法、主动控制法和Backstepping法研究了含有常数项的新Lü混沌系统的自同步问题.针对非严格反馈的新Lü混沌系统,分别基于以上三种方法设计了自适应控制器,依据Lyapunov稳定性原理证明了这些控制器能够较好地实现新Lü混沌系统的渐近自同步.数值仿真实验进一步验证了以上三种同步方法的有效性.经对三种同步方法比较分析,发现基于状态观测器的同步方法更加灵活高效.
关键词:
混沌同步
状态观测器
主动控制
Backstepping 相似文献
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提出了基于稳定性准则的半周期延迟-非线性反馈控制混沌的方法,即SC(stability criterion)半周期延迟非线性反馈控制法.通过对混沌系统的适当分离,得到一个特殊的非线性函数,并利用混沌输出信号与其半周期延迟信号的非线性函数之和,构造了连续反馈输入干扰.该方法继承了延迟反馈控制方法及稳定性准则控制方法的优点,实现了有效的自控制过程;并克服了延迟反馈方法的限制,能将嵌入混沌吸引子中的自对称直接不稳周期轨稳定.控制过程可随时开始,具有简便、灵活性.数值模拟结果显示了SC半周期延迟-非线性反馈方法控制的有效性.
关键词:
稳定性准则
混沌控制
半周期延迟
非线性反馈 相似文献
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In this paper we present a new simple controller for a chaotic system, that is, the
Newton--Leipnik equation with two strange attractors: the upper attractor (UA) and
the lower attractor (LA). The controller design is based on the passive technique.
The final structure of this controller for original stabilization has a simple
nonlinear feedback form. Using a passive method, we prove the stability of a
closed-loop system. Based on the controller derived from the passive principle, we
investigate three different kinds of chaotic control of the system, separately: the
original control forcing the chaotic motion to settle down to the origin from an
arbitrary position of the phase space; the chaotic intra-attractor control for
stabilizing the equilibrium points only belonging to the upper chaotic attractor or
the lower chaotic one, and the inter-attractor control for compelling the chaotic
oscillation from one basin to another one. Both theoretical analysis and simulation
results verify the validity of the suggested method. 相似文献
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对不确定混沌系统控制问题, 研究了一种基于径向基函数神经网络(radial basis function neural network, RBFNN)的反馈补偿控制方法. 该方法首先用RBFNN对混沌系统的动力学特性进行学习, 然后用训练好的RBFNN模型对混沌系统进行反馈补偿控制. 该方法的特点是不需要被控混沌系统的数学模型,可以快速跟踪任意给定的参考信号. 数值仿真试验表明了该控制方法不仅具有响应速度快、控制精度高, 而且具有较强的抑制混沌系统参数摄动能力和抗干扰能力. 相似文献
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Theoretical and experimental study of Chen chaotic system with notch filter feedback control 下载免费PDF全文
Since the past two decades, the time delay feedback control method has attracted more and more attention in chaos control studies because of its simplicity and efficiency compared with other chaos control schemes. Recently, it has been proposed to suppress low-dimensional chaos with the notch filter feedback control method, which can be implemented in a laser system. In this work, we have analytically determined the controllable conditions for notch filter feedback controlling of Chen chaotic system in terms of the Hopf bifurcation theory. The conditions for notch filter feedback controlled Chen chaoitc system having a stable limit cycle solution are given. Meanwhile, we also analysed the Hopf bifurcation direction, which is very important for parameter settings in notch filter feedback control applications. Finally, we apply the notch filter feedback control methods to the electronic circuit experiments and numerical simulations based on the theoretical analysis. The controlling results of notch filter feedback control method well prove the feasibility and reliability of the theoretical analysis. 相似文献
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提出了基于稳定性准则的延迟非线性反馈控制混沌的方法,即SC延迟非线性反馈控制法. 通过对混沌系统的适当分离,得到一个特殊的非线性函数,并利用混沌输出信号与其延迟信号的非线性函数的差,构造了连续反馈输入干扰,以控制混沌轨到某一期望的不稳周期轨上. 该方法继承了延迟反馈控制方法的优点,实现了自-控制过程. 另外由于该方法基于线性系统的稳定性准则,保证了控制的有效性. 控制过程可随时开始,具有简便、灵活性. 给出耦合Duffing振子的例子,数值模拟结果显示了SC延迟反馈方法控制的有效性.
关键词:
稳定性准则
混沌控制
延迟反馈
干扰 相似文献
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We demonstrate the constant feedback and the modified constant feedback method to the Hénon map. Using the convergence of the chaotic orbit in finite time, we can control the system from chaos to the stable fixed point, and even to the stable period-2 orbit or higher periodic orbit by the action of a proper feedback strength and pulse interval. We also find that the multi-steady solutions appear with the same control strength and different initial conditions. The aim of this control method is explicit and the feedback strength is easy to determine. The method is robust under the presence of weak external noise. 相似文献